Exponential stability of difference equations with several delays: recursive approach.
Berezansky, Leonid, Braverman, Elena (2009)
Advances in Difference Equations [electronic only]
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Berezansky, Leonid, Braverman, Elena (2009)
Advances in Difference Equations [electronic only]
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Abdelouaheb Ardjouni, Ahcene Djoudi (2013)
Mathematica Bohemica
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In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).
Medina, Rigoberto (2004)
International Journal of Mathematics and Mathematical Sciences
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Yankson, E. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Islam, Muhammad, Yankson, Ernest (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Medina, Rigoberto (2002)
International Journal of Mathematics and Mathematical Sciences
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Dai, Binxiang, Zhang, Na (2005)
Discrete Dynamics in Nature and Society
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Erik I. Verriest (2001)
Kybernetika
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A qualitative method is explored for analyzing the stability of systems. The approach is a generalization of the celebrated Lyapunov method. Whereas classically, the Lyapunov method is based on the simple comparison theorem, deriving suitable candidate Lyapunov functions remains mostly an art. As a result, in the realm of delay equations, such Lyapunov methods can be quite conservative. The generalization is here in using the comparison theorem directly with a different scalar equation...
Anh, Bui The, Thanh, D.D.X. (2007)
Journal of Applied Mathematics
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